Search a number
-
+
23408384 = 28611499
BaseRepresentation
bin101100101001…
…0111100000000
31122001021021012
41121102330000
521443032014
62153420052
7402653006
oct131227400
948037235
1023408384
111223907a
127a0a628
134b0791c
143174a76
1520c5c3e
hex1652f00

23408384 has 36 divisors (see below), whose sum is σ = 47523000. Its totient is φ = 11504640.

The previous prime is 23408381. The next prime is 23408389. The reversal of 23408384 is 48380432.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 23408384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23408381) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14867 + ... + 16365.

Almost surely, 223408384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23408384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23761500).

23408384 is an abundant number, since it is smaller than the sum of its proper divisors (24114616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23408384 is an equidigital number, since it uses as much as digits as its factorization.

23408384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 23408384 is about 4838.2211607160. The cubic root of 23408384 is about 286.0600066438.

The spelling of 23408384 in words is "twenty-three million, four hundred eight thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 488 976 1499 1952 2998 3904 5996 7808 11992 15616 23984 47968 91439 95936 182878 191872 365756 383744 731512 1463024 2926048 5852096 11704192 23408384